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This paper presents a game-theoretic framework to study the interactions of attack and defense for deep learning-based NextG signal classification. NextG systems such as the one envisioned for a massive number of IoT devices can employ deep…

Networking and Internet Architecture · Computer Science 2022-12-23 Yalin E. Sagduyu

This paper investigates the convergence of learning dynamics in Stackelberg games. In the class of games we consider, there is a hierarchical game being played between a leader and a follower with continuous action spaces. We establish a…

Computer Science and Game Theory · Computer Science 2024-12-07 Tanner Fiez , Benjamin Chasnov , Lillian J. Ratliff

Adversarial training is a standard technique for training adversarially robust models. In this paper, we study adversarial training as an alternating best-response strategy in a 2-player zero-sum game. We prove that even in a simple…

Machine Learning · Computer Science 2023-03-01 Maria-Florina Balcan , Rattana Pukdee , Pradeep Ravikumar , Hongyang Zhang

In this paper, we apply the idea of fictitious play to design deep neural networks (DNNs), and develop deep learning theory and algorithms for computing the Nash equilibrium of asymmetric $N$-player non-zero-sum stochastic differential…

Optimization and Control · Mathematics 2020-09-07 Ruimeng Hu

We address the challenge of designing optimal adversarial noise algorithms for settings where a learner has access to multiple classifiers. We demonstrate how this problem can be framed as finding strategies at equilibrium in a two-player,…

Machine Learning · Computer Science 2019-06-10 Juan C. Perdomo , Yaron Singer

Deep Neural Networks (DNN) have been shown to be vulnerable to adversarial examples. Adversarial training (AT) is a popular and effective strategy to defend against adversarial attacks. Recent works (Benz et al., 2020; Xu et al., 2021; Tian…

Machine Learning · Computer Science 2023-02-09 Boqi Li , Weiwei Liu

Game theory is a very profound study on distributed decision-making behavior and has been extensively developed by many scholars. However, many existing works rely on certain strict assumptions such as knowing the opponent's private…

Computer Science and Game Theory · Computer Science 2020-04-21 Kuo Chun Tsai , Zhu Han

Adversarial attacks can generate adversarial inputs by applying small but intentionally worst-case perturbations to samples from the dataset, which leads to even state-of-the-art deep neural networks outputting incorrect answers with high…

Machine Learning · Computer Science 2024-01-08 Shorya Sharma

We study multi-player general-sum Markov games with one of the players designated as the leader and the other players regarded as followers. In particular, we focus on the class of games where the followers are myopic, i.e., they aim to…

Machine Learning · Computer Science 2021-12-28 Han Zhong , Zhuoran Yang , Zhaoran Wang , Michael I. Jordan

Machine learning models have been successfully applied to a wide range of applications including computer vision, natural language processing, and speech recognition. A successful implementation of these models however, usually relies on…

Machine Learning · Computer Science 2020-09-29 Arash Rahnama , Andrew Tseng

Adversarial examples are inevitable on the road of pervasive applications of deep neural networks (DNN). Imperceptible perturbations applied on natural samples can lead DNN-based classifiers to output wrong prediction with fair confidence…

Machine Learning · Computer Science 2020-11-04 Tao Bai , Jinqi Luo , Jun Zhao

Recent works have theoretically and empirically shown that deep neural networks (DNNs) have an inherent vulnerability to small perturbations. Applying the Deep k-Nearest Neighbors (DkNN) classifier, we observe a dramatically increasing…

Machine Learning · Computer Science 2021-10-08 Ren Wang , Tianqi Chen , Alfred Hero

The Stackelberg game model, where a leader commits to a strategy and the follower best responds, has found widespread application, particularly to security problems. In the security setting, the goal is for the leader to compute an optimal…

Computer Science and Game Theory · Computer Science 2022-09-19 Sai Mali Ananthanarayanan , Christian Kroer

This tutorial aims to introduce the fundamentals of adversarial robustness of deep learning, presenting a well-structured review of up-to-date techniques to assess the vulnerability of various types of deep learning models to adversarial…

Machine Learning · Computer Science 2021-08-25 Wenjie Ruan , Xinping Yi , Xiaowei Huang

Dynamic Stackelberg games are a broad class of two-player games in which the leader acts first, and the follower chooses a response strategy to the leader's strategy. Unfortunately, only stylized Stackelberg games are explicitly solvable…

Optimization and Control · Mathematics 2024-11-15 Guillermo Alvarez , Ibrahim Ekren , Anastasis Kratsios , Xuwei Yang

Is there a classifier that ensures optimal robustness against all adversarial attacks? This paper answers this question by adopting a game-theoretic point of view. We show that adversarial attacks and defenses form an infinite zero-sum game…

Machine Learning · Computer Science 2021-01-07 Rafael Pinot , Raphael Ettedgui , Geovani Rizk , Yann Chevaleyre , Jamal Atif

In this work, we provide a structural characterization of the possible Nash equilibria in the well-studied class of security games with additive utility. Our analysis yields a classification of possible equilibria into seven types and we…

Computer Science and Game Theory · Computer Science 2022-08-05 Joe Clanin , Sourabh Bhattacharya

Robust Reinforcement Learning (RL) focuses on improving performances under model errors or adversarial attacks, which facilitates the real-life deployment of RL agents. Robust Adversarial Reinforcement Learning (RARL) is one of the most…

Machine Learning · Computer Science 2022-09-27 Peide Huang , Mengdi Xu , Fei Fang , Ding Zhao

Deep learning takes advantage of large datasets and computationally efficient training algorithms to outperform other approaches at various machine learning tasks. However, imperfections in the training phase of deep neural networks make…

Cryptography and Security · Computer Science 2015-11-25 Nicolas Papernot , Patrick McDaniel , Somesh Jha , Matt Fredrikson , Z. Berkay Celik , Ananthram Swami

State-of-art deep neural networks (DNN) are vulnerable to attacks by adversarial examples: a carefully designed small perturbation to the input, that is imperceptible to human, can mislead DNN. To understand the root cause of adversarial…

Machine Learning · Statistics 2019-10-29 Xupeng Shi , A. Adam Ding
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